Seminar Event Detail

Colloquium Series

Date:  Wednesday, November 29, 2017
Location:  4448 (Psychology Dept Side) East Hall (3:10 PM to 4:00 PM)

Title:  Stability in the homology of configuration spaces

Abstract:   This talk will illustrate some patterns in the homology of the configuration space F_k(M), the space of ordered k-tuples of distinct points in a manifold M. For a fixed manifold M, as k increases, we might expect the topology of these configuration spaces to become increasingly complicated. Church and others showed, however, that when M is connected and open, there is a representation-theoretic sense in which the homology groups of these spaces stabilize. In this talk I will explain these stability patterns, and describe higher-order stability phenomena -- relationships between unstable homology classes in different degrees -- established in recent work joint with Jeremy Miller. This project was inspired by work-in-progress of Galatius--Kupers--Randal-Williams.


Speaker:  Jennifer Wilson
Institution:  Stanford University

Event Organizer:     


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